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5 September, 09:01

Sally is $3.95 in dimes and quarters that shows the total 23 coins how many times does she have and how many quarters does she have

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  1. 5 September, 11:57
    0
    Make a system of equations:

    0.10x + 0.25y = 3.95

    x + y = 23

    x + y = 23

    Subtract 'y' to both sides:

    x = - y + 23

    Plug in - y + 23 for 'x' in the first equation:

    0.10 (-y + 23) + 0.25y = 3.95

    Distribute 0.10:

    -0.10y + 2.3 + 0.25y = 3.95

    Subtract 2.3 to both sides:

    -0.10y + 0.25y = 1.65

    Combine like terms:

    0.15y = 1.65

    Divide 0.15 to both sides:

    y = 11

    Plug this into any of the two equations to find 'x':

    x + y = 23

    x + 11 = 23

    Subtract 11 to both sides:

    x = 12

    So Sally has 11 dimes and 12 quarters.
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